exam Maths Puzzle Numerical Ability

can you help me find the correct answer.

find the center and the radius of the circle

x^2+y^2+6y-27=0

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exam Other Question

find the domain of f(x)=7+ sqrt 3x+21 Find the length of x. Express your answer in simplified radical form.

Side 1: 51 ft. Side 2: 45 ft. Bottom: x

My answer 24 ft. Is this correct? Thanks